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An aquarium that holds 40 cubic meters of water is to be made such that the...

An aquarium that holds 40 cubic meters of water is to be made such that the length of its base is twice the width. If the material for the base costs $20 per square meter, and the material for the sides cost $16 per square meter, find the cost of the materials for the cheapest possible aquarium. What are the dimensions of this aquarium?

Be sure to define your variables, list the main equation and all supporting equations used, the derivative, and all scratch work supporting your final solution.

Math   Calculus   
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